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Finding the Fourth Proportional to 675.90, 932.74 and 377.14

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Solution

The fourth proportional to 675.90, 932.74 and 377.14 is: 520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.90 : 932.74 = 377.14 : x
  2. Step 2: Convert to fraction form
    675.90/932.74 = 377.14/x
  3. Step 3: Cross multiply
    675.90x = 932.74 × 377.14
  4. Step 4: Simplify right side
    675.90x = 351,778.53
  5. Step 5: Solve for x
    x = 351,778.53/675.90
  6. Step 6: Final answer
    x = 520.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.